Skip to main content
### Details

#####
Courses that offer this unit

Non-award/non-degree study If you wish to undertake one or more units of study (subjects) for your own interest but not towards a degree, you may enrol in single units as a non-award student. Cross-institutional study If you are from another Australian tertiary institution you may be permitted to undertake cross-institutional study in one or more units of study at the University of Sydney.
To help you understand common terms that we use at the University, we offer an online glossary.
## Media

## Student links

## About us

This unit provides a comprehensive treatment of dynamical systems using the mathematically sophisticated framework of Lagrange and Hamilton. This formulation of classical mechanics generalizes elegantly to modern theories of relativity and quantum mechanics. The unit develops dynamical theory from the Principle of Least Action using the calculus of variations. Emphasis is placed on the relation between the symmetry and invariance properties of the Lagrangian and Hamiltonian functions and conservation laws. Coordinate and canonical transformations are introduced to make apparently complicated dynamical problems appear very simple. The unit will also explore connections between geometry and different physical theories beyond classical mechanics. Students will be expected to solve fully dynamical systems of some complexity including planetary motion and to investigate stability using perturbation analysis. Hamilton-Jacobi theory will be used to elegantly solve problems ranging from geodesics (shortest path between two points) on curved surfaces to relativistic motion in the vicinity of black holes. This unit is a useful preparation for units in dynamical systems and chaos, and complements units in differential equations, quantum theory and general relativity.

Classes

Three 1 hour lectures and one 1 hour tutorial per week.

Assessment

One 2 hour exam and assignments and/or quizzes (100%)

A mark of 65 or greater in 12 credit points of MATH2XXX units of study

ProhibitionsMATH4077

Faculty: Science

Semester 2

05 Aug 2019

Department/School: Mathematics and Statistics Academic Operations

Study Mode: Normal (lecture/lab/tutorial) day

Census Date: 31 Aug 2019

Unit of study level: Senior

Credit points: 6.0

EFTSL: 0.125

Available for study abroad and exchange: Yes

Faculty/department permission required? No

Location

Camperdown

More details

HECS Band: 2

Leadership for good starts here

ABN: 15 211 513 464

CRICOS Number: 00026A

TEQSA: PRV12057